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Title: First Mott lobe of bosons with local two- and three-body interactions

Abstract

Using the density matrix renormalization group method, we determine the phase diagram of the Bose-Hubbard model with local two- and three-body interactions, describing polar molecules in one-dimensional optical lattices. The difference in the block von Neumann entropy with different system sizes was used to establish the critical points. We found that the quantum critical point position increases with the three-body interaction. We show that the model studied is in the same universality class as the model with pure two-body interactions.

Authors:
 [1];  [2]
  1. Departamento de Fisica, Universidad Nacional de Colombia, Apartado Aereo 5997 Bogota (Colombia)
  2. Departamento de Fisica, Universidade Federal de Sergipe, 49100-000 Sao Cristovao-SE (Brazil)
Publication Date:
OSTI Identifier:
22095753
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 84; Journal Issue: 6; Other Information: (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 74 ATOMIC AND MOLECULAR PHYSICS; BOSONS; DENSITY MATRIX; ENTROPY; HUBBARD MODEL; MOLECULES; ONE-DIMENSIONAL CALCULATIONS; PHASE DIAGRAMS; RENORMALIZATION; THREE-BODY PROBLEM; TWO-BODY PROBLEM

Citation Formats

Silva-Valencia, J., Departamento de Fisica, Universidade Federal de Sergipe, 49100-000 Sao Cristovao-SE, and Souza, A. M. C. First Mott lobe of bosons with local two- and three-body interactions. United States: N. p., 2011. Web. doi:10.1103/PHYSREVA.84.065601.
Silva-Valencia, J., Departamento de Fisica, Universidade Federal de Sergipe, 49100-000 Sao Cristovao-SE, & Souza, A. M. C. First Mott lobe of bosons with local two- and three-body interactions. United States. https://doi.org/10.1103/PHYSREVA.84.065601
Silva-Valencia, J., Departamento de Fisica, Universidade Federal de Sergipe, 49100-000 Sao Cristovao-SE, and Souza, A. M. C. 2011. "First Mott lobe of bosons with local two- and three-body interactions". United States. https://doi.org/10.1103/PHYSREVA.84.065601.
@article{osti_22095753,
title = {First Mott lobe of bosons with local two- and three-body interactions},
author = {Silva-Valencia, J. and Departamento de Fisica, Universidade Federal de Sergipe, 49100-000 Sao Cristovao-SE and Souza, A. M. C.},
abstractNote = {Using the density matrix renormalization group method, we determine the phase diagram of the Bose-Hubbard model with local two- and three-body interactions, describing polar molecules in one-dimensional optical lattices. The difference in the block von Neumann entropy with different system sizes was used to establish the critical points. We found that the quantum critical point position increases with the three-body interaction. We show that the model studied is in the same universality class as the model with pure two-body interactions.},
doi = {10.1103/PHYSREVA.84.065601},
url = {https://www.osti.gov/biblio/22095753}, journal = {Physical Review. A},
issn = {1050-2947},
number = 6,
volume = 84,
place = {United States},
year = {Thu Dec 15 00:00:00 EST 2011},
month = {Thu Dec 15 00:00:00 EST 2011}
}